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3 years ago

10

What is the volume of a box that measures 12cm by 7cm by 19cm

2 answers:

Neko [114]3 years ago

8 0

Answer:

1,596 cm cubed

Step-by-step explanation:

Volume of box = 12*7*19= 1,596 cm cubed

Delicious77 [7]3 years ago

8 0

Answer:

1596

Step-by-step explanation:

To find the <u>volume</u> of a box, you <u>multiply</u> the length, width, and height of the box.

So, 12 times 7 is 84 times 19 is <u>1596</u>.

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A baseball is thrown into the air from the top of a 224-foot tall building. The baseball's approximate height over time can be r

antoniya [11.8K]

The function is $h(t) = -16t^2 + 80t + 224$ , and according to the description of the function in the problem statement, we have the following:

at t=0 after being thrown (that is, at initial time), the height of the ball is calculated by h(0) as follows:

$h(0) = -16(0)^2 + 80(0) + 224=0+0+224=224$ (ft), which is the initial height, as expected.

At t=1 (sec), the height would be $h(1) = -16(1)^2 + 80(1) + 224=-16+80+224=288$ .

etc.

The path is parabolic, as we know by seeing that the function is a quadratic polynomial function. This function has been given in factored form as well. From that we can see that the zeros of the function are t=7 and t=-2.

This means that at t=7 sec, the height h is 0, which means that the ball has hit the ground. t=-2 has no significance in the context of our problem so we just neglect it.

Answer: B) 7 sec

6 0

3 years ago

Read 2 more answers

Derivative of<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B3x%7D%5E%7B2%7D%20-%202x%20-%201%20%7D%7B%20%7Bx%7D%5E%7B2

Anastaziya [24]

Answer:

$\displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3}$

Step-by-step explanation:

we would like to figure out the derivative of the following:

$\displaystyle \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }$

to do so, let,

$\displaystyle y = \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }$

By simplifying we acquire:

$\displaystyle y = 3 - \frac{2}{x} - \frac{1}{ {x}^{2} }$

use law of exponent which yields:

$\displaystyle y = 3 - 2 {x}^{ - 1} - { {x}^{ - 2} }$

take derivative in both sides:

$\displaystyle \frac{dy}{dx} = \frac{d}{dx} (3 - 2 {x}^{ - 1} - { {x}^{ - 2} } )$

use sum derivation rule which yields:

$\rm\displaystyle \frac{dy}{dx} = \frac{d}{dx} 3 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2}$

By constant derivation we acquire:

$\rm\displaystyle \frac{dy}{dx} = 0 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2}$

use exponent rule of derivation which yields:

$\rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ - 1 -1} ) - ( - 2 {x}^{ - 2 - 1} )$

simplify exponent:

$\rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ -2} ) - ( - 2 {x}^{ - 3} )$

two negatives make positive so,

$\displaystyle \frac{dy}{dx} = 2 {x}^{ -2} + 2 {x}^{ - 3}$

<h3>further simplification if needed:</h3>

by law of exponent we acquire:

$\displaystyle \frac{dy}{dx} = \frac{2 }{x^2}+ \frac{2}{x^3}$

simplify addition:

$\displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3}$

and we are done!

5 0

3 years ago

A boy band has released two albums. Their first album sold 5.9×10^5 copies. Their second album sold 1.3×10^6 copies. How many to

prisoha [69]

The band has sold 1,890,000 copies or 1.89 x 10^6

3 0

3 years ago

Read 2 more answers

A spinner has 12 equal sections:5 red 4 green and the rest are black. In 921 spins how many times can you expect to spin black?

Komok [63]

Answer:

230

Step-by-step explanation:

12 sections total

5 red, 4 green, the rest black

12-5-4 = 3 sections are black

3/12 = 1/4 of the sections are black

1/4 represents the probability of landing on black for one spin

(1/4)*921 = 230.25 which rounds to 230

We expect to land on a black section about 230 times out of 921 times total.

8 0

3 years ago

A designer is adding a pendant to a jewelry collection. The shape of the pendent can be defined by the equation

ValentinkaMS [17]

Answer:

A

Step-by-step explanation:

1.25 on edge

6 0

3 years ago

Read 2 more answers